Properties of the Number 19759

Nineteen Thousand Seven Hundred Fifty-Nine

Basics

Value: 19758 → 19759 → 19760

Parity: odd

Prime: Yes

Previous Prime: 19753

Next Prime: 19763

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 19759

Divisors: 1, 19759

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110100101111

Octal: 46457

Duodecimal: B527

Hexadecimal: 4d2f

Square: 390418081

Square Root: 140.56671014148407

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Petersen graph (3,1) coloring a rectangular array: number of nXk 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,3 3,5 3,4 1,2 1,4 4,5 2,0 2,5 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph, with the array starting at 0. A223504

Smallest balanced prime of order n. A82080

Final terms of rows of A077321. A77323

a(n) = a(n-1) + 3·a(n-2) - 2·a(n-3) - 2·a(n-4), where a(0) = 1, a(1) = 2, a(2) = 3, a(3) = 4. A295619

a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1. A33499

Primes with digit sum = 31. A106767

a(n) = A007290(n+2) - 1 = 2·C(n+2,3) - 1. A108766

A084938 * [1,2,3,...], where A084938 is taken as lower triangular matrix. A134378

Pairs of consecutive primes {p,q} for which the numbers of distinct residues of all factorials mod p and mod q coincide. A210242

a(n) = the n-th prime with sum of decimal digits = n, or 0 if no such number exists. A75361